GCD of 319, 687, 397, 348 Calculator

Given Input numbers are 319, 687, 397, 348

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 319

List of positive integer divisors of 319 that divides 319 without a remainder.

1, 11, 29, 319

Divisors of 687

List of positive integer divisors of 687 that divides 687 without a remainder.

1, 3, 229, 687

Divisors of 397

List of positive integer divisors of 397 that divides 397 without a remainder.

1, 397

Divisors of 348

List of positive integer divisors of 348 that divides 348 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Greatest Common Divisior

We found the divisors of 319, 687, 397, 348 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 319, 687, 397, 348 is 1.

Therefore, GCD of numbers 319, 687, 397, 348 is 1

Given Input Data is 319, 687, 397, 348

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 319 is 11 x 29

Prime Factorization of 687 is 3 x 229

Prime Factorization of 397 is 397

Prime Factorization of 348 is 2 x 2 x 3 x 29

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(319, 687) = 219153

GCD(319, 687) = ( 319 x 687 ) / 219153

GCD(319, 687) = 219153 / 219153

GCD(319, 687) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 397

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 397) = 397

GCD(1, 397) = ( 1 x 397 ) / 397

GCD(1, 397) = 397 / 397

GCD(1, 397) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 348

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 348) = 348

GCD(1, 348) = ( 1 x 348 ) / 348

GCD(1, 348) = 348 / 348

GCD(1, 348) = 1

GCD of 319, 687, 397, 348 is 1

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1. What is the GCD of 319, 687, 397, 348?

GCD of 319, 687, 397, 348 is 1

2. Where do I get the detailed procedure to find GCD of 319, 687, 397, 348?

You can find a detailed procedure to find GCD of 319, 687, 397, 348 on our page.

3. How to find GCD of 319, 687, 397, 348 on a calculator?

You can find the GCD of 319, 687, 397, 348 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.